A balloon filled with helium rises against gravity increasing its potential energy. The speed of the balloon also increases as it rises. How do you reconcile this with the law of conservation of mechanical energy? You can neglect the viscous drag of air and assume that the density of air is constant.
A balloon filled with helium rises against gravity increasing its potential energy. The speed of the balloon also increases as it rises. How do you reconcile this with the law of conservation of mechanical energy? You can neglect the viscous drag of air and assume that the density of air is constant.

The net buoyant force Equals vpg when the dragging viscous force of the air on the balloon is ignored.

Where v is the volume of air that has been displaced.

The upward net density is denoted by p.

According to the calculations, the sum of the balloon’s kinetic and potential energy will match the change in potential energy in the air as the balloon rises.